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Characteristic subgroup of finite index

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: characteristic subgroup and subgroup of finite index
View other subgroup property conjunctions | view all subgroup properties

Definition

A characteristic subgroup of finite index is a subgroup of a group that is a characteristic subgroup as well as a subgroup of finite index, i.e., the index of the subgroup is finite, or equivalently, the quotient group is a finite group.

Relation with other properties